All Stories

  1. Existence of entire solutions vanishing at infinity by positive drift

    Article • Research in the Mathematical Sciences, February 2025, Springer Science + Business Media

    Prof. Antonio Vitolo

  2. Remarks on comparison principles for p-Laplacian with extension to (p,q)-Laplacian

    Article • Bulletin of Mathematical Sciences, October 2024, World Scientific Pub Co Pte Lt

    Prof. Antonio Vitolo

  3. Regularity Properties for a Class of Non-uniformly Elliptic Isaacs Operators

    Article • Advanced Nonlinear Studies, February 2020, De Gruyter

    Fausto Ferrari, Prof. Antonio Vitolo

  4. Directional ellipticity on special domains: Weak Maximum and Phragmén–Lindelöf principles

    Article • Nonlinear Analysis, July 2019, Elsevier

    Prof. Antonio Vitolo

  5. On the strong maximum principle

    Article • Complex Variables and Elliptic Equations, April 2019, Taylor & Francis

    Prof. Antonio Vitolo

  6. Blow-up solutions for fully nonlinear equations: Existence, asymptotic estimates and uniqueness

    Article • Advances in Nonlinear Analysis, July 2018, De Gruyter

    Prof. Antonio Vitolo

  7. Existence of positive entire solutions of fully nonlinear elliptic equations

    Article • Journal of Elliptic and Parabolic Equations, May 2018, Springer Science + Business Media

    Prof. Antonio Vitolo

  8. Removable singularities for degenerate elliptic equations without conditions on the growth of the solution

    Article • Transactions of the American Mathematical Society, November 2017, American Mathematical Society (AMS)

    Prof. Antonio Vitolo

  9. Harnack inequality for nonlinear elliptic equations with strong absorption

    Article • Journal of Differential Equations, November 2017, Elsevier

    Prof. Antonio Vitolo

  10. The Weak Maximum Principle for Degenerate Elliptic Operators in Unbounded Domains

    Article • International Mathematics Research Notices, December 2016, Oxford University Press (OUP)

    Prof. Antonio Vitolo

  11. Entire solutions of fully nonlinear elliptic equations with a superlinear gradient term

    Article • Journal of Mathematical Analysis and Applications, September 2016, Elsevier

    Prof. Antonio Vitolo

  12. On the inequality $$F(x,D^2u)\ge f(u) +g(u)\, |Du|^q$$ F ( x , D 2 u ) ≥ f ( u ) + g ( u ) | D u | q

    Article • Mathematische Annalen, August 2015, Springer Science + Business Media

    Prof. Antonio Vitolo

  13. Glaeser’s Type Interpolation Inequalities

    Article • Journal of Mathematical Sciences, October 2014, Springer Science + Business Media

    Prof. Antonio Vitolo

  14. On the growth of positive entire solutions of elliptic PDEs and their gradients

    Article • Discrete and Continuous Dynamical Systems - S, June 2014, American Institute of Mathematical Sciences (AIMS)

    Prof. Antonio Vitolo

  15. $H^{1,p}$-eigenvalues and $L^\infty$-estimates in quasicylindrical domains

    Article • Communications on Pure & Applied Analysis, April 2011, American Institute of Mathematical Sciences (AIMS)

    Prof. Antonio Vitolo

  16. Viscosity Solutions of Uniformly Elliptic Equations without Boundary and Growth Conditions at Infinity

    Article • International Journal of Differential Equations, January 2011, Hindawi Publishing Corporation

    Prof. Antonio Vitolo

  17. Glaeser's type gradient estimates for non-negative solutions of fully nonlinear elliptic equations

    Article • Discrete and Continuous Dynamical Systems, April 2010, American Institute of Mathematical Sciences (AIMS)

    Prof. Antonio Vitolo

  18. Gradient and Hölder estimates for positive solutions of Pucci type equations

    Article • Comptes Rendus Mathématique, May 2008, Elsevier

    Prof. Antonio Vitolo

  19. Harnack Inequalities and ABP Estimates for Nonlinear Second-Order Elliptic Equations in Unbounded Domains

    Article • Abstract and Applied Analysis, January 2008, Hindawi Publishing Corporation

    Prof. Antonio Vitolo

  20. A qualitative Phragmèn–Lindelöf theorem for fully nonlinear elliptic equations

    Article • Journal of Differential Equations, December 2007, Elsevier

    Prof. Antonio Vitolo

  21. Problems for elliptic singular equations with a quadratic gradient term

    Article • Journal of Mathematical Analysis and Applications, October 2007, Elsevier

    Prof. Antonio Vitolo

  22. A Note on the Maximum Principle for Second-Order Elliptic Equations in General Domains

    Article • Acta Mathematica Sinica English Series, August 2007, Springer Science + Business Media

    Prof. Antonio Vitolo

  23. The Alexandrov-Bakelman-Pucci Weak Maximum Principle for Fully Nonlinear Equations in Unbounded Domains

    Article • Communications in Partial Differential Equations, November 2005, Taylor & Francis

    Prof. Antonio Vitolo

  24. On the Phragmén–Lindelöf principle for second-order elliptic equations

    Article • Journal of Mathematical Analysis and Applications, December 2004, Elsevier

    Prof. Antonio Vitolo

  25. On the maximum principle for complete second-order elliptic operators in general domains

    Article • Journal of Differential Equations, October 2003, Elsevier

    Prof. Antonio Vitolo

  26. On the maximum principle for second-order elliptic operators in unbounded domains

    Article • Comptes Rendus Mathématique, January 2002, Elsevier

    Prof. Antonio Vitolo

  27. Elliptic Equations with Discontinuous Coefficients in Weighted Sobolev Spaces on Unbounded Domains

    Article • Journal of Mathematical Analysis and Applications, January 2001, Elsevier

    Prof. Antonio Vitolo

  28. Stability estimates in time-backwards problem for the rod equation

    Article • Rendiconti del Circolo Matematico di Palermo Series 2, January 1994, Springer Science + Business Media

    Prof. Antonio Vitolo

  29. p+2 WITH FEW AND BOUNDED PRIME FACTORS

    Article • Analysis, January 1991, De Gruyter

    Prof. Antonio Vitolo